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arXiv · 2608.29075

The 2-monoidal structure of symmetric sequences

Patrick Dan·Claudio Pfammatter
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Abstract

We prove a conjecture proposed by Dwyer and Hess (2014), namely that the category of symmetric sequences, when equipped with the composition and matrix monoidal structures, forms a 2-monoidal category in the sense of Aguiar and Mahajan (2010). Our approach leverages a detailed analysis of the interplay between these two monoidal structures, offering new insights into their behavior. As a consequence, we are able to show that every operad admits a Day-operad structure.

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Patrick Dan, Claudio Pfammatter. 2026-08-29. The 2-monoidal structure of symmetric sequences. https://arxiv.org/abs/2608.29075

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